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A127947
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Hankel transform of central coefficients of (1+k*x+5x^2)^n, k arbitrary integer.
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0
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1, 10, 500, 125000, 156250000, 976562500000, 30517578125000000, 4768371582031250000000, 3725290298461914062500000000, 14551915228366851806640625000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Hankel transform of A098264. The Hankel transform of e.g.f. Bessel_I(0,2*sqrt(5)x) and its k_th binomial transforms, are given by a(n). In general, the Hankel transform of e.g.f. Bessel_I(0,2*sqrt(m)x) and its binomial transforms is 2^n*m^C(n+1,2).
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FORMULA
| a(n)=2^n*5^C(n+1,2)
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CROSSREFS
| Sequence in context: A200458 A071096 A039835 * A095232 A042209 A163703
Adjacent sequences: A127944 A127945 A127946 * A127948 A127949 A127950
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 08 2007
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